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Finding the Fourth Proportional to 106,366.32, 146,787.12 and 61,051.68

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Solution

The fourth proportional to 106,366.32, 146,787.12 and 61,051.68 is: 84,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,366.32 : 146,787.12 = 61,051.68 : x
  2. Step 2: Convert to fraction form
    106,366.32/146,787.12 = 61,051.68/x
  3. Step 3: Cross multiply
    106,366.32x = 146,787.12 × 61,051.68
  4. Step 4: Simplify right side
    106,366.32x = 8,961,600,278.36
  5. Step 5: Solve for x
    x = 8,961,600,278.36/106,366.32
  6. Step 6: Final answer
    x = 84,252.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.